Library Home


Mathematics - Pure

Read more about Linear Algebra

Linear Algebra

David Cherney, UC Davis

Tom Denton, The Fields Institute and York University

Andrew K. Waldon, UC Davis

We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.

(2 reviews)

Read more about Algorithms and Data Structures With Applications to Graphics and Geometry

Algorithms and Data Structures With Applications to Graphics and Geometry

Jurg Nievergelt, ETH Zurich

Klaus Hinrichs, University of Muenster

An introductory coverage of algorithms and data structures with application to graphics and geometry.

(1 review)

Read more about Fundamentals of Mathematics

Fundamentals of Mathematics

Denny Burzynski, College of Southern Nevada

Wade Ellis, West Valley Community College

Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who:

(6 reviews)

Read more about Intermediate Algebra

Intermediate Algebra

John Redden, College of the Sequoias


It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines.

(1 review)

Read more about Calculus for the Life Sciences: A Modeling Approach Volume 2

Calculus for the Life Sciences: A Modeling Approach Volume 2

James L. Cornette, Iowa State University

Ralph A. Ackerman

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

No ratings

(0 reviews)

Read more about Precalculus: An Investigation of Functions

Precalculus: An Investigation of Functions

David Lippman, Pierce College

Melonie Rasmussen, Pierce College

Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

(6 reviews)

Read more about Vector Calculus

Vector Calculus

Michael Corral, Schoolcraft College

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

No ratings

(0 reviews)

Read more about Calculus for the Life Sciences: A Modeling Approach Volume 1

Calculus for the Life Sciences: A Modeling Approach Volume 1

James L. Cornette, Iowa State University

Ralph A. Ackerman, Iowa State University

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

No ratings

(0 reviews)

Read more about Whitman Calculus

Whitman Calculus

David Guichard, Whitman College

An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

(6 reviews)

Read more about College Trigonometry

College Trigonometry

Carl Stitz, Lakeland Community College

Jeff Zeager, Lorain County Community College

Covers chapters 10-11 of Precalculus.

(1 review)